The sustaining environments hypothesis theorizes that the lasting effects of PreK programs are contingent on the quality of the subsequent learning environment in early elementary school. The current study tests this theory by leveraging data from students (N = 462) who did and did not enroll in the Boston Public Schools (BPS) prekindergarten…

Research evaluating the variables that influence learning has devoted inadequate attention to the influence of the amount of new material presented at one time. The current study evaluated the impact of varying instructional set size (ISS) on the rate at which elementary school students mastered multiplication facts while receiving constant time…

Purpose: This study aimed to develop video-based e-module for Mathematics in Nature lessons and documented students' learning experiences in using the e-modules in a flipped classroom model. Method: The participants of this study were 113 first year college students and 10 randomly selected students for an in-depth interview. The research…

Purpose: This study aimed to know the difficulties and coping strategies of students in learning mathematics, specifically, as a whole and according to their proficiency level. Method: It was conducted to 24 Grade 10 students of Gines National High School S.Y. 2015-2016. Participants were selected using convenience sampling from proficient,…

Principals are increasingly called upon to support effective instruction and student learning across content areas. Content and process standards emphasize the need for leadership that addresses teachers' pedagogical and content understandings. The purpose of this article is to conceptualize content-specific leadership in mathematics and science…

Although geometric shape content should be mastered by early high school, many pre-service teachers (PSTs), particularly those in elementary and special education, have limited yet deeply engrained shape concepts. This poses challenges for how to teach shape concepts in content courses for PSTs. Thus, this study tested an approach atypical for a…

The visual method in this paper solves linear inequalities in one variable by considering them initially as two competing linear expressions, each of which is then expressed as a linear equation. When the solution of these two linear equations exist, it is viewed as a highlighted area or a line. These linear equations convey the intended visual…

This study examined whether the efficacy of ROOTS, a 50-lesson mathematics intervention program focused on whole number concepts for at-risk kindergarten students, differed by group size and whether initial skill moderated intervention effects by group size. The study utilized a randomized block design with at-risk students (n = 1,251) within…

Dynamic representational technologies (DRTs), influenced by the seminal work of James Kaput and colleagues, have been in use in mathematics classrooms for decades. In this paper, we analyze 24 classrooms in the United States where teachers support students' conceptual learning with technologies that support explorations of dynamic connections both…

This article reports on third-year mathematics students' competency and sub-competency development through providing intentional support in the learning of mathematical modelling. Students often experience modelling as difficult, and obstructions in the modelling process can lead to a dead end. Literature reports confirm that the modelling task is…

By having students practice constructing diagrams for geometric theorems, teachers can develop students' understanding of mathematical claims, vocabulary, and notation methods. This practice can also strengthen students' ability to interpret mathematical diagrams and recognize their limitations.

This article uses Gresalfi and Cobb's (2006) definition of "mathematical authority": "the degree to which students are given opportunities to be involved in decision making and whether they have a say in establishing priorities in task completion, method, or pace of learning. Thus, authority is not about 'who's in charge' in terms…

This article describes part of the findings of a teaching experiment whose objective is to investigate the algebraic abilities of elementary students when they solve situations that involve a functional relationship. In particular, we focus on describing the use and meanings attributed to letters by third-year primary school students when faced…

Histories of mathematical practice account for mathematical knowledge and action by interpreting presently-available evidence as traces of the events, contexts, and relations that make up the past. Interpretations depend on the assumptions one makes about how mathematical knowledge works, insofar as it is knowledge and insofar as it is…

This paper presents empirical findings from a qualitative study on Minecraft as a mathematical tool and learning environment. Even though Minecraft has been used for several years in classrooms around the world, there is a lack of detailed empirical studies of how students learn subject-related content by working with the game. This study is based…